Application of Mean Curvature Flow for Surface Parametrizations

TL;DR

This paper explores the use of conformalized mean curvature flow for surface parametrizations, discussing implementation details and limitations of the method originally introduced by Kazhdan, Solomon, and Ben-Chen.

Contribution

It provides an implementation and analysis of conformalized mean curvature flow applied to surface parametrizations, highlighting practical challenges.

Findings

Implementation of the conformalized mean curvature flow algorithm

Identification of limitations in the current approach

Insights into applying curvature flow for surface parametrization

Abstract

This is an expository article describing the conformalized mean curvature flow, originally introduced by Kazhdan, Solomon, and Ben-Chen. We are interested in applying mean curvature flow to surface parametrizations. We discuss our own implementation of their algorithm and some limitations.